A producer of tea blends two varieties of tea from two tea gardens one

1.	A producer of tea blends two varieties of tea from two tea gardens one costing Rs.18 per kg and another Rs.20 per kg in the ratio 5 ∶ 3. If he sells the blended variety at Rs.21 per kg, then his gain percent is 1. 12%2. 13%3. 14%4. 15%
Answer» Correct Answer - Option 1 : 12% Given: Cost Price (CP) of the first variety of tea = Rs.18 per kg Cost Price of the second variety of tea = Rs.20 per kg Ratio of adding the two varieties = 5 ∶ 3 Selling Price (SP) of the mixture of two varieties = Rs.21 per kg Concept Used: Profit% = [(SP – CP)/CP] × 100 Calculation: Let the quantity of first variety added be 5x kg, and The quantity of second variety added be 3x kg So, the total Cost Price = (18 × 5x) + (20 × 3x) = Rs.150x Also, the total quantity of the sold mixture = 5x + 3x = 8x kg Hence, the total Selling Price = 21 × 8x = Rs.168x So, the overall Profit% = [(168x – 150x)/150x] × 100 = 12% ∴ The overall Profit Percentage is 12%

A producer of tea blends two varieties of tea from two tea gardens one costing Rs.18 per kg and another Rs.20 per kg in the ratio 5 ∶ 3. If he sells the blended variety at Rs.21 per kg, then his gain percent is 1. 12%2. 13%3. 14%4. 15%

Answer» Correct Answer - Option 1 : 12%

Given:

Cost Price (CP) of the first variety of tea = Rs.18 per kg

Cost Price of the second variety of tea = Rs.20 per kg

Ratio of adding the two varieties = 5 ∶ 3

Selling Price (SP) of the mixture of two varieties = Rs.21 per kg

Concept Used:

Profit% = [(SP – CP)/CP] × 100

Calculation:

Let the quantity of first variety added be 5x kg, and

The quantity of second variety added be 3x kg

So, the total Cost Price = (18 × 5x) + (20 × 3x) = Rs.150x

Also, the total quantity of the sold mixture = 5x + 3x = 8x kg

Hence, the total Selling Price = 21 × 8x = Rs.168x

So, the overall Profit% = [(168x – 150x)/150x] × 100 = 12%

∴ The overall Profit Percentage is 12%